Question

keith uses this formula to calculate the monthly profit of his bicycle store.
$p = 400n - 7, 200$
in the formula, $p$ is the monthly profit and $n$ is the number of bicycles sold in a month. how many bicycles must he sell to make a profit of exactly $2,000$ in a month?
a. 13 bicycles
b. 17 bicycles
c. 23 bicycles
d. 25 bicycles

Explanation:

Step1: Substitute P with 2000

We know the profit formula is \( P = 400n - 7200 \), and we want \( P = 2000 \). So we substitute \( P \) in the formula:
\( 2000 = 400n - 7200 \)

Step2: Solve for n

First, add 7200 to both sides of the equation:
\( 2000 + 7200 = 400n \)
\( 9200 = 400n \)
Then, divide both sides by 400:
\( n=\frac{9200}{400}=23 \)

Answer:

C. 23 bicycles